Question

Find the simple interest and the total amount after three years.
Principal = 7800 rupees
Annual rate of interest = 9.5%
Total interest =____rupees
Total amount =____rupees​

Answer 1

Step-by-step explanation:

Simple Interest = P×R×T/100

= ₹(7800×9.5×3/100)

= ₹(7800×95×3/100×10)

= ₹2223

Amount = P+I

= ₹(7800+2223)

= ₹10023

Answer 2

★ Given :

• Principal (P) = 7800 rupees
• Annual rate of interest (R) = 9.5%
• Time (T) = 3 years

★ To find :

• Total interest ( I ) = ?
• Total amount ( A ) = ?

✎ Finding the total interest :

$\boxed{\sf{simple\:interest\:(\:I\:)\:=\frac{Principal\:(\:P\:)\:\times\:Time\:(\:T\:)\:\times\:Rate\:(\:R\:)}{100}}}$

$\longrightarrow{\sf{\frac{7800\times3\times9.5}{100}}}$

$\longrightarrow{\sf{\frac{222300}{100}}}$

$\longrightarrow{\sf{2223\:rupees}}$

The total interest = 2223 rupees

✎ Finding the total Amount :

$\boxed{\sf{Amount\:(A)=Principal\:(\:P\:)\:+\:Interest\:(\:I\:)}}$

$\longrightarrow{\sf{7800\:rupees+2223\:rupees}}$

$\longrightarrow{\sf{10023\:rupees}}$

The total amount = 10023 rupees.

____________________________

$\boxed{\bf{Total\:Interest=\underline{2223}\:rupees}}$

$\boxed{\bf{Total\:Amount=\underline{10023}\:rupees}}$

____________________________

☞ Additional Info :

• Principal : The money which is borrowed or deposited is called principal ( P ).
• Interest : The additional amount of money which is paid by borrower to the lender is called Interest ( I ) .
• Time : The duration of time for which principal is deposited or borrowed is termed as time period ( T ).
• Rate : The condition under which the interest is charged is called rate ( R ).
• Amount : The sum of principal and interest is called an amount ( A ).

✑ Important Formulaes :

• $\sf{Interest\:=\frac{Principal\times\:Time\times\:Rate}{100}}$
• $\sf{Principal = \frac{Interest\:times\:100}{Time\times\:Rate}}$
• $\sf{Time=\frac{Interest\:times\:100}{Principal\times\:Rate}}$
• $\sf{Rate=\frac{Interest\:times\:100}{Principal\times\:Time}}$
• $\sf{Amount = Principal +Interest}$
• $\sf{Principal=Amount -Interest}$
• $\sf{Interest=Amount -Principal}$